• Ігор Володимирович Кузьо
  • Володимир Миколайович Гурський
  • Тетяна Миколаївна Сорокіна
  • Павло Леонідович Носко
  • Олександр Васильович Башта



rolling friction, rolling frictional coefficient, rotational assembly, contact pressure, support unit


In the General case, the losses due to rolling and sliding friction in the support units can reach up to 30% of the total drive power, which can be P = 1000-2000 kW and more. There are also other mechanical losses due to rolling and sliding friction, in particular in the gearing of the unit rotation. The article presents the results of experimental studies of the rolling friction process of two cylindrical rollers on the experimental stand, which simulates the rotate assembly support unit operation. The development of the experimental stand is based on three criteria of similarity (geometric, kinematic and dynamic) to the existing equipment. The stand is made with a geometric scale of rolling pair M 1:10. The load in the contact was determined under the condition of equality of contact pressures arising between the bandage and the roller on the full-scale equipment and the investigated rollers on the experimental stand. The defining force and kinematic characteristics of the experimental model are obtained. The moment of rolling friction is determined depending on the circular rolling speed and radial load on the rolling pair. The value of the steel rollers rolling friction coefficient limits is recommended based on they experimentally obtained results. It is determined that the value of the rolling friction coefficient can fluctuate due to changes in rolling speed within certain limits, and then increase with further increase in speed. The rolling frictional coefficients regularities of changes from the rolling speed and the contact pressures radial load, which are corresponding with the real values in basic support units of industrial rotate kilns, are established.  Based on this, the loss of power due to rolling friction in the support units of large rotating units, continuous operation, in particular drum dryers, screens, etc. is determined based on the recommended values of the rolling friction coefficient.

Author Biographies

Ігор Володимирович Кузьо

д-р техн. наук, професор, професор кафедри робототехніки та інтегрованих технологій машинобудування Національного університету «Львівська політехніка»

Володимир Миколайович Гурський

– д-р техн. наук, доцент кафедри робототехніки та інтегрованих технологій машинобудування Національного університету «Львівська політехніка», м. Львів, Україна,

Тетяна Миколаївна Сорокіна

канд. техн. наук, доцент кафедри експлуатацііі суднових енергетичних установок та теплоенергетики Національного університету кораблебудування імені адмірала Макарова

Павло Леонідович Носко

д-р техн. наук, професор, професор кафедри машинознавства, стандартизації та сертифікації Національного авіаційного університету

Олександр Васильович Башта

Васильович – канд. техн. наук, доц., доцент кафедри машинознавства, стандартизації та сертифікації Національного авіаційного університету, м. Київ, Україна,


Jurkiewicz A. Compression of two rollers in sheet-fed offset printing machine / A. Jurkiewicz, Y. Pyryev // Acta Mechanica et Automatica. — 2011. — Vol. 5, No. 4. — P. 58–61.

Deshpande V. Contribution to kiln tyre contact stress analysis / V. Deshpande, A. Dhekhane // International Journal of Innovative Research in Science, Engineering and Technology. — 2014. — Vol. 3, No. 2. — P. 9500–9504.

Kuzio I. V. Raschet y kontrol ustanovky ahrehatov nepreryvnoho proyzvodstva / I. V. Kuzio, T. G. Shevchenko. — Lvov : Vyshcha shkola, 1987. — 176 p.

Bashta O. V. Doslidzhennia vtrat potuzhnosti vnaslidok tertia kovzannia i kochennia v zubchastomu zacheplenni. оhliad / O. V. Bashta, P. L. Nosko, O. V. Rad’ko, [et al.] // Problemy tertia ta znoshuvannia. — 2020. — Vol. 0, No. 4(89). — P. 47–57.

Dyk D. J. van Analysis of dynamic effects in a rotary kiln system used for iron production / D. J. van Dyk, L. Pretorius // R&D Journal. — 1995. — Vol. ІІ, No. 1. — P. 12–20.

Krot P. Model based monitoring of dynamic loads and remaining useful life prediction in rolling mills and heavy machinery / P. Krot, I. Prykhodko, V. Raznosilin, R. Zimroz. — Cham : Springer International Publishing, 2020.

Cherepanov G. P. Theory of rolling: solution of the coulomb problem / G. P. Cherepanov // Journal of Applied Mechanics and Technical Physics. — 2014. — No. 55. — P. 182–189.

Zhou X. Mechanical model and contact stress emulational analysis of rotary kiln’s tyre / X. Zhou, Y.-L. Liu, X.-Q. Zhao, L.-P. Huang // Journal of Central South University of Technology. — 2002. — Vol. 33. — P. 526–529.

Yang X. Y. Contact pressure of loose-fitted tyre under intermittent contact / X. Y. Yang, Y. G. Xiao, X. M. Lei, G. X. Chen // Advanced Materials Research. — 2013. — No. 816–817. — P. 1015–1018.

Xiao Y. General solution to kiln support reactions and multi-objective fuzzy optimization of kiln axis alignment / Y. Xiao, X. Li, X. Chen // Structural and Multidisciplinary Optimization. — 2008. — No. 36. — P. 319–327.

Li X.-J. The contact finite element analysis of support structure of large-scale rotary kiln with multi-supporting / X.-J. Li, Y.-P. Shen, Y.-Q. Wang, D.-S. Liu // Engineering mechanics. — 2006. — Vol. 23, No. 9. — P. 109–113.

Greenwood J. A. Hysteresis losses in rolling and sliding friction on jstor / J. A. Greenwood, H. Minshall, D. Tabor // Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences. — 1961. — Vol. 259, No. 1299. — P. 480–507.

Žiga A. Stress state in rotary kiln support rollers / A. Žiga, J. Kačmarčik // Mašinstvo. — 2017. — Vol. 1, No. 14. — P. 3–10.

Tadić B. Static coefficient of rolling friction at high contact temperatures and various contact pressure / B. Tadić, V. Kocovic, M. Matejić, [et al.] // Tribology in Industry. — 2016. — Vol. 38. — P. 83–89.

Tharoon T. Analysis of rotary kiln support roller by using analytical method and fea software / T. Tharoon // International Journal for Research in Applied Science & Engineering Technology. — 2016. — Vol. 4, No. XII. — P. 603–611.

Wang H. Nominal friction coefficient in spread formulas based on lead rolling experiments / H. Wang, Y. Hu, F. Gao, [et al.] // Transactions of Nonferrous Metals Society of China. — 2015. — Vol. 25, No. 8. — P. 2693–2700.

Scaraggi M. Rolling friction: comparison of analytical theory with exact numerical results / M. Scaraggi, B. Persson // Tribology Letters. — 2014. — Vol. 55. — P. 15–21.

Wiegand B. P. Estimation of the rolling resistance of tires / B. P. Wiegand. — Warrendale, PA : SAE Internationphotolithography, exposure, additive technologies, DLP, SLA, LCD, photo masks,

productional, 2016.



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